15th February 2024: Jiwoon Park (Air Force Academy of South Korea)

Title: Plateau of the hierarchical phi4 model
Abstract: Statistical physics serves as a systematic exploration of deriving macroscopic laws from microscopic foundations, playing a pivotal role in elucidating phenomena across natural science and engineering. The renormalization group method stands out as a cornerstone in this discipline, celebrated among physicists as the standard approach. However, its comprehension within mathematical physics remains a challenge. In this presentation, I delve into the hierarchical phi4 model-a synthetic construct designed for implementing the renormalization group method. While artificial, this model captures essential physical characteristics shared with more realistic counterparts like the O(N)-spin model. I aim to shed light on the historical context of the phi4 model, exploring its evolution and significance, and addressing intriguing questions such as the plateau of the spin-spin correlation. Additionally, I will discuss recent developments in the method, drawing attention to an insightful exploration detailed in arXiv:2306.00896. Through these insights, I aim to bridge the gap in understanding the renormalization group method from a mathematical physics perspective.